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42022440 = 233251131033
BaseRepresentation
bin1010000001001…
…1011000101000
32221001221221200
42200103120220
541224204230
64100404200
71020120255
oct240233050
987057850
1042022440
11217a2099
12120a6660
138924265
14581c42c
153a51160
hex2813628

42022440 has 96 divisors (see below), whose sum is σ = 137914920. Its totient is φ = 11096064.

The previous prime is 42022439. The next prime is 42022451. The reversal of 42022440 is 4422024.

42022440 = T67 + T68 + ... + T631.

42022440 is a `hidden beast` number, since 420 + 2 + 244 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32695524 + 9326916 = 5718^2 + 3054^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40164 + ... + 41196.

Almost surely, 242022440 is an apocalyptic number.

42022440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42022440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68957460).

42022440 is an abundant number, since it is smaller than the sum of its proper divisors (95892480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42022440 is a wasteful number, since it uses less digits than its factorization.

42022440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 42022440 is about 6482.4717508062. The cubic root of 42022440 is about 347.6645598460.

Adding to 42022440 its reverse (4422024), we get a palindrome (46444464).

The spelling of 42022440 in words is "forty-two million, twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 113 120 180 226 339 360 452 565 678 904 1017 1033 1130 1356 1695 2034 2066 2260 2712 3099 3390 4068 4132 4520 5085 5165 6198 6780 8136 8264 9297 10170 10330 12396 13560 15495 18594 20340 20660 24792 30990 37188 40680 41320 46485 61980 74376 92970 116729 123960 185940 233458 350187 371880 466916 583645 700374 933832 1050561 1167290 1400748 1750935 2101122 2334580 2801496 3501870 4202244 4669160 5252805 7003740 8404488 10505610 14007480 21011220 42022440